算子的图

On the basis of this mathematical tools, the differential invariants of Laplace boundary operator have been constructed.

这种方法实际上适用于图象处理中相当广泛的的微分算子。

This is the bitmap using Canny operator for edge detection of the source code and test pictures!

这是位图用CANNY算子进行边缘提取的源程序代码及测试图片！

According to the requests of packaged granary grain quantity intelligent reckoning, took the actual scene video as the analysis object, and used the dual threshold canny operator and the morphology processing method to extract the grain bag characteristic outline-counter-band of light boundary.

摘 要：针对袋装粮数量智能测算的要求，以实际场景视频图为分析对象，在对典型边缘检测算法实验结果分析的基础上，采用双阈值canny边缘检测算子和形态学处理的方法提取粮袋特征轮廓——反光带的边界。

Moreover, the semiopen mapping theorem, the semiclosed graph theorem and the semibounded inverse theorem are established under some conditions of weaker t-norms.

对MengerPN空间上的线性算子引入β-半有界，β-半开及β-半闭等概念，讨论了它们间的关系，并在较弱的t-模条件下建立了半开射定理，半闭图定理和半有界逆定理。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

On the aspect of urban spatial distribution DM: Adopting the conception model of combination of location and attribute, the author brings spatial coordinates, spatial relationship and attribute character into the unitive model of spatial computation, studies city's land suitableness evaluation and the method of spatial clustering in division of urban function districts and brings forward the arithmetic of classification layer. Aiming at land spatial optimization allocation, the author puts forward SGA. In this arithmetic selection, crossover and mutation operator are progressed on the space.

在城市空间分布数据挖掘方面：采用空间—属性一体化概念模型，把空间坐标、空间关系和属性特征纳入到统一的空间计算模型，分别对城市土地适宜性评价和城市功能区划分中的空间聚类方法进行了研究，并提出了一种分类图层的平滑算法；针对城市土地的空间优化配置，提出了一种空间遗传算法，该算法中的选择、交叉、变异算子都是在空间上进行的；对多要素离散空间场之间的相关性测度，定义了一种基于信息熵的规范的相关指数，并给出了计算方法。

Digital image process technique is used in pantographic faults monitoring, and a new algorithm named window-edge tracking is proposed in this paper. Based on the binary image of edges which is detected by Canny operator, a window in proper size is set to track the discontinuous edges to estimate the position of the lost edges. With this method continuous edges will be obtained, and continuous and smooth edges will be got after least-squares curve-fitting.

中文摘要：将数字图像处理技术应用于受电弓故障监测，提出一种新型的窗口边缘跟踪算法，在采用Canny算子计算出边缘二值图的基础上，设置适当大小的窗口对初始不连续边缘进行遍历，估计断点处边缘点位置获得连续边缘，并采用最小二乘法拟和出连续平滑的曲线函数。

The contour curve is obtained with Sobel operator, and thus the angel of the contour curve of needlepoint image can be computed.

通过Sobel算子和曲线拟合得到输液针图象的轮廓曲线，并进一步计算出输液针图象的外轮廓角度。

Firstly, edge extracting is conducted with a laplace operator for a k frame image of fk and a k-1 frame image of fk-1 collected by a camera; secondly, difference calculus is conducted for images of two frames whose edge is extracted, and a difference image of D is obtained; thirdly, average filtering and binary processing is conducted for the difference image of D, fourthly, the image which is processed of binary is judged, i.e. when the difference of a pixel in the difference image is more than the set threshold value, the pixel is confirmed as a target pixel; otherwise, the pixel is a static background pixel.

首先对摄像头采集的第k帧图像f k和第k-1帧图像f k-1分别采用laplace算子进行边缘提取，然后对经过边缘提取的两帧图像进行差分运算，得到差分图像D，然后对差分图像D进行均值滤波和二值化处理，最后对二值化后的图象进行判断，即认为当差分图像中某一个像素的差大于设定的阈值时，则认为该像素是目标像素，反之则认为是静止不动的背景像素。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。